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Engineering, 13.11.2019 01:31 esdoles3865

Alinear velocity profile was used to model flow in a laminar incompressible boundary layer in problem 5.10. express the rotation of a fluid particle. locate the maximum rate of rotation. express the rate of angular deformation for a fluid particle. locate the maximum rate of angular deformation. express the rates of linear deformation for a fluid particle. locate the maximum rates of linear deformation. express the shear force per unit volume in the x direction. locate the maximum shear force per unit volume; interpret this result. problem 5.10 being referenced: a crude approximation for the x component of velocity in an incompressible laminar boundary layer is a linear variation from u = 0 at the surface (y = 0) to the freestream velocity, u, at the boundary-layer edge (y = ẟ). the equation for the profile is u = uy/ẟ, where ẟ = cx1/2 and c is a constant. show that the simplest expression for the y component of velocity is v = uy/4x. evaluate the maximum value of the ratio v/u, at a location where x = 0.5 m and ẟ = 5 mm.

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